The 28-year-old has admitted that he previously struggled with life at the club due to his family being away from England.
Despite these concerns, Sessegnon has claimed that he never considered leaving the Stadium of Light during the transfer window last summer.
"The issue with my family is settled now," Sessegnon told the Northern Echo. "Two years ago when I arrived, sometimes my family wasn't here, but now it is fine.
"They live here now and the problem is completely finished. Even [last summer] though, I never gave [leaving] a thought. I didn't think about it and I didn't think about what was being said about me."
Sunderland can improve their chances of Premier League survival by defeating Aston Villa this evening.